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Finding the Fourth Proportional to 275.27, 413.16 and 138.41

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Solution

The fourth proportional to 275.27, 413.16 and 138.41 is: 207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.27 : 413.16 = 138.41 : x
  2. Step 2: Convert to fraction form
    275.27/413.16 = 138.41/x
  3. Step 3: Cross multiply
    275.27x = 413.16 × 138.41
  4. Step 4: Simplify right side
    275.27x = 57,185.99
  5. Step 5: Solve for x
    x = 57,185.99/275.27
  6. Step 6: Final answer
    x = 207.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.